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The difference in painting a cuboid box with paint worth 5.50 per sq inch and 5 per sq inch is 188. If the dimensions of the box are in the ratio 3 : 4 : 5, find the volume of the box in cubic inches.
option
a) 360
b) 480
c) 240
d) 516
Read Solution (Total 4)
-
- total surface area of cuboid = 2(lb+bh+hl)
let the dimensions are in the ration 3x,4x,5x.
so total surface area = 2(3x*4x+4x*5x+5x*3x) = 94x^2
now.. 94x^2(5.50) - 94x^2(5) = 188
solving this equation we get x = 2. put the values in to dimensions. thus values are, 6,8,10. so volume = l*b*h = 6*8*10 = 480 . (answer) - 11 years agoHelpfull: Yes(30) No(1)
- total surface area =2(lb+bh+hl)=2(3x*4x+4x*5x+5x*3x)=94x^2
cost=5.50per sq inch and 5 per sq inch
so atq
5.50*94x^2-5*94x^2=188
94x^2(5.50-5)=188
so x=2
so sides =6,8,10
hence vol=6*8*10=480ans - 11 years agoHelpfull: Yes(5) No(0)
- Use surfacearea formula, u will get 480 as the volume
- 11 years agoHelpfull: Yes(2) No(1)
- thanx a lot ashutosh anshu!!!!!
- 11 years agoHelpfull: Yes(0) No(1)
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